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Simplifying
(3y + 7)(3y + -7) = 0
Reorder the terms:
(7 + 3y)(3y + -7) = 0
Reorder the terms:
(7 + 3y)(-7 + 3y) = 0
Multiply (7 + 3y) * (-7 + 3y)
(7(-7 + 3y) + 3y * (-7 + 3y)) = 0
((-7 * 7 + 3y * 7) + 3y * (-7 + 3y)) = 0
((-49 + 21y) + 3y * (-7 + 3y)) = 0
(-49 + 21y + (-7 * 3y + 3y * 3y)) = 0
(-49 + 21y + (-21y + 9y2)) = 0
Combine like terms: 21y + -21y = 0
(-49 + 0 + 9y2) = 0
(-49 + 9y2) = 0
Solving
-49 + 9y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 9y2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 9y2 = 0 + 49
9y2 = 0 + 49
Combine like terms: 0 + 49 = 49
9y2 = 49
Divide each side by '9'.
y2 = 5.444444444
Simplifying
y2 = 5.444444444
Take the square root of each side:
y = {-2.333333333, 2.333333333}
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